284868216 has 96 divisors (see below), whose sum is σ = 827658000. Its totient is φ = 88238592.

The previous prime is 284868211. The next prime is 284868223. The reversal of 284868216 is 612868482.

It is a super-2 number, since 2×284868216² = 162299800974045312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284868211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70540 + ... + 74468.

Almost surely, 2^284868216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284868216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413829000).

284868216 is an abundant number, since it is smaller than the sum of its proper divisors (542789784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

284868216 is a wasteful number, since it uses less digits than its factorization.

284868216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 4006 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 284868216 is about 16878.0394596055. The cubic root of 284868216 is about 657.9829881381.

The spelling of 284868216 in words is "two hundred eighty-four million, eight hundred sixty-eight thousand, two hundred sixteen".